Question 1 of 10

The table shows how many males and females attended two different movies. How would you find the joint relative frequency of being female and attending an action movie?

\begin{tabular}{|c|c|c|c|}
\hline
& Action & Drama & Total \\
\hline
Male & 105 & 124 & 229 \\
\hline
Female & 99 & 151 & 250 \\
\hline
Total & 204 & 275 & 479 \\
\hline
\end{tabular}

A. Divide 204 by 250.

B. Divide 99 by 250.

C. Divide 99 by 204.

D. Divide 99 by 479.



Answer :

To determine the joint relative frequency of being female and attending an action movie, follow these steps:

1. Identify the desired condition: We are looking for the joint relative frequency of two conditions — being female and attending an action movie.

2. Locate the relevant values in the table:
- The number of females who attended an action movie: 99
- The total number of people in the sample: 479

3. Understand what joint relative frequency represents: It is the ratio of the number of occurrences of the joint condition to the total number of occurrences.

4. Perform the division: To find this joint relative frequency, we divide the number of females who attended an action movie by the total number of people.

So, the joint relative frequency is found by dividing 99 by 479.

Thus, the correct answer is:
D. Divide 99 by 479.

When you do the division, you find the joint relative frequency to be approximately 0.20668, or 20.67%.